Orbital dynamics landscape near the most distant known trans-Neptunian objects

TL;DR

This study explores the orbital dynamics of the most distant trans-Neptunian objects using an extended phase space mapping approach, revealing many are near Neptune's resonances and showing subtle dynamical effects.

Contribution

It extends the Poincare mapping method to three-dimensional multi-planet systems, providing new insights into the resonance status and orbital stability of distant TNOs.

Findings

Nearly half of the studied TNOs are in Neptune's resonances.

Most TNOs are influenced by Neptune's resonances, contrary to prior expectations.

Resonances cause a small but notable non-uniformity in perihelion longitude distribution.

Abstract

The most distant known trans-Neptunian objects (perihelion distance above 38 au and semimajor axis above 150 au) are of interest for their potential to reveal past, external, or present but unseen perturbers. Realizing this potential requires understanding how the known planets influence their orbital dynamics. We use a recently-developed Poincare mapping approach for orbital phase space studies of the circular planar restricted three body problem, which we have extended to the case of the three-dimensional restricted problem with $N$ planetary perturbers. With this approach, we explore the dynamical landscape of the 23 most distant TNOs under the perturbations of the known giant planets. We find that, counter to common expectations, almost none of these TNOs are far removed from Neptune's resonances. Nearly half (11) of these TNOs have orbits consistent with stable libration in Neptune's resonances; in particular, the orbits of TNOs 148209 and 474640 overlap with Neptune's 20:1 and 36:1 resonances, respectively. Five objects can be ruled currently non-resonant, despite their large orbital uncertainties, because our mapping approach determines the resonance boundaries in angular phase space in addition to semimajor axis. Only three objects are in orbital regions not appreciably affected by resonances: Sedna, 2012 VP113 and 2015 KG163. Our analysis also demonstrates that Neptune's resonances impart a modest (few percent) non-uniformity in the longitude of perihelion distribution of the currently observable distant TNOs. While not large enough to explain the observed clustering, this small dynamical sculpting of the perihelion longitudes could become relevant for future, larger TNO datasets.